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Finding the Fourth Proportional to 11,950.32, 16,492.80 and 6,645.66

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Solution

The fourth proportional to 11,950.32, 16,492.80 and 6,645.66 is: 9,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.32 : 16,492.80 = 6,645.66 : x
  2. Step 2: Convert to fraction form
    11,950.32/16,492.80 = 6,645.66/x
  3. Step 3: Cross multiply
    11,950.32x = 16,492.80 × 6,645.66
  4. Step 4: Simplify right side
    11,950.32x = 109,605,541.25
  5. Step 5: Solve for x
    x = 109,605,541.25/11,950.32
  6. Step 6: Final answer
    x = 9,171.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.